Question

Solve: (x + 4)2 – 4 = 16

O x= - 4+2V5
O
O x= – 4 + 20
O x= 4 + V20
O x= +4

Answer 1

`{x} = - 4 \pm \: 2√(5)`

Explanation:

`{(x + 4)}^(2) - 4 = 16 \\ \\ \implies \: {(x + 4)}^(2) = 16 + 4 \\ \\ \implies \: {(x + 4)}^(2) = 20 \\ \\ \implies \: {(x + 4)} = \pm \: √(20) \\ \\ \implies \: {x + 4} = \pm \: 2√(5) \\ \\ \implies \: {x} = - 4 \pm \: 2√(5)`